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Related papers: Dissipativity of system abstractions obtained usin…

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The notion of dissipative dynamical systems provides a formal description of processes that cannot generate energy internally. For these systems, changes in energy can only occur due to an external energy supply or dissipation effects.…

Numerical Analysis · Mathematics 2026-02-18 Attila Karsai , Philipp Schulze

In this paper, we propose a compositional approach for the construction of finite abstractions (a.k.a. finite Markov decision processes (MDPs)) for networks of discrete-time stochastic control subsystems that are not necessarily…

Systems and Control · Electrical Eng. & Systems 2020-02-12 Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

This paper studies the construction of dynamic symbolic abstractions for nonlinear control systems via dynamic quantization. Since computational complexity is a fundamental problem in the use of discrete abstractions, a dynamic quantizer…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Wei Ren , Dimos V. Dimarogonas

Like with most large-scale systems, the evaluation of quantitative properties of collective adaptive systems is an important issue that crosscuts all its development stages, from design (in the case of engineered systems) to runtime…

Systems and Control · Computer Science 2016-07-12 Mirco Tribastone

At the intersection of dynamical systems, control theory, and formal methods lies the construction of symbolic abstractions: these typically represent simpler, finite-state models whose behavior mimics that of an underlying concrete system…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Rudi Coppola , Andrea Peruffo , Manuel Mazo

This paper formulates and studies the concepts of approximate (alternating) bisimulation relations characterizing equivalence relations between interconnected systems and their abstractions. These equivalence relations guarantee that the…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Belamfedel Alaoui Sadek , Saharsh , Pushpak Jagtap , Adnane Saoud

The goal of this report is to define abstractions for multi-agent systems with feedback interconnection in their dynamics. In the proposed decentralized framework, we specify a finite or countable transition system for each agent which only…

Systems and Control · Computer Science 2016-08-24 Dimitris Boskos , Dimos V. Dimarogonas

The paper is considered with the dissipative theory and feedback control under the framework of dissipation with the supply rate is the inner product of input u and the derivation of output y for the linear/nonlinear time-invariant input…

Dynamical Systems · Mathematics 2023-06-16 Qin Xu , Liu Liu , Yufeng Lu

In this work, we derive conditions under which compositional abstractions of networks of stochastic hybrid systems can be constructed using the interconnection topology and joint dissipativity-type properties of subsystems and their…

Systems and Control · Computer Science 2018-05-24 Asad Ullah Awan , Majid Zamani

Abstraction of a continuous-space model into a finite state and input dynamical model is a key step in formal controller synthesis tools. To date, these software tools have been limited to systems of modest size (typically $\leq$ 6…

Systems and Control · Computer Science 2018-01-29 Felix Gruber , Eric S. Kim , Murat Arcak

The purpose of this report is to define abstractions for multi-agent systems under coupled constraints. In the proposed decentralized framework, we specify a finite or countable transition system for each agent which only takes into account…

Systems and Control · Computer Science 2015-03-02 Dimitris Boskos , Dimos V. Dimarogonas

In this paper, we consider the problem of verifying pre-opacity for discrete-time control systems. Pre-opacity is an important information-flow security property that secures the intention of a system to execute some secret behaviors in the…

Systems and Control · Electrical Eng. & Systems 2022-11-09 Junyao Hou , Siyuan Liu , Xiang Yin , Majid Zamani

The abstraction of dynamical systems is a powerful tool that enables the design of feedback controllers using a correct-by-design framework. We investigate a novel scheme to obtain data-driven abstractions of discrete-time stochastic…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Rudi Coppola , Andrea Peruffo , Licio Romao , Alessandro Abate , Manuel Mazo

We consider abstraction-based design of output-feedback controllers for dynamical systems with a finite set of inputs and outputs against specifications in linear-time temporal logic. The usual procedure for abstraction-based controller…

Systems and Control · Electrical Eng. & Systems 2020-02-10 Rupak Majumdar , Necmiye Ozay , Anne-Kathrin Schmuck

We define robust abstractions for synthesizing provably correct and robust controllers for (possibly infinite) uncertain transition systems. It is shown that robust abstractions are sound in the sense that they preserve robust satisfaction…

Systems and Control · Computer Science 2018-03-06 Jun Liu

We propose a general notion of dissipativity with dynamic supply rates for nonlinear systems. This extends classical dissipativity with static supply rates and dynamic supply rates of miscellaneous quadratic forms. The main results of this…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Sei Zhen Khong , Chao Chen , Alexander Lanzon

The essential step of abstraction-based control synthesis for nonlinear systems to satisfy a given specification is to obtain a finite-state abstraction of the original systems. The complexity of the abstraction is usually the dominating…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Yiming Meng , Jun Liu

Robust imitation learning seeks to mimic expert controller behavior while ensuring stability, but current methods require accurate plant models. Here, robust imitation learning is addressed for stabilizing poorly modeled plants with linear…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Amy K. Strong , Ethan J. LoCicero , Leila Bridgeman

A key question that arises in rigorous analysis of cyberphysical systems under attack involves establishing whether or not the attacked system deviates significantly from the ideal allowed behavior. This is the problem of deciding whether…

Systems and Control · Computer Science 2014-01-08 Sayan Mitra

Controller synthesis techniques for continuous systems with respect to temporal logic specifications typically use a finite-state symbolic abstraction of the system model. Constructing this abstraction for the entire system is…

Systems and Control · Computer Science 2017-08-10 Kaushik Mallik , Anne-Kathrin Schmuck , Sadegh Soudjani , Rupak Majumdar